Answer:
<h2>The angle ABC is 70°.</h2>Step-by-step explanation:
You can observe a representation of the problem in the image attached.
According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means
Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.
Therefore, the angle ABC is 70°.
Answer:
x ≈ 14.7
Step-by-step explanation:
Assuming the triangle is right then use Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 15² = 21²
x² + 225 = 441 ( subtract 225 from both sides )
x² = 216 ( take the square root of both sides )
x = ≈ 14.7 ( to the nearest tenth )
Answer:
Step-by-step explanation:
The given expresion is
We need to remove the highest perfect square from the radicand.
We rewrite 54 as 6*9
This gives us:
This is the same as
We now simplify to get:
